Also that population boom was addressed in the video, fairly early on as I recall.
Currently the global human population is growing at a steady rate of one billion people every so many years. Many people are born, and many other people die, but the death rate is much smaller than the birth rate.
If nobody died (which wouldn't be the case anyway, as people commonly die of things other than old age) for a generation, many people would be born, but not more people than would be born anyway. So the mitigation on population growth from people dying would be greatly reduced, and the population would grow faster, but that simply means the number of years until the next billion people is somewhat less.
The population won't "boom" over any kind of short period and the change in population growth wouldn't significantly affect the total population for roughly a whole generation if not several.
Formerly known as "parameciumkid." Still playing on Intel HD Graphics 4000 ^^ My computer turns 5 this Summer.